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Finding the Fourth Proportional to 6,110.04, 9,165.02 and 1,493

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Solution

The fourth proportional to 6,110.04, 9,165.02 and 1,493 is: 2,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.04 : 9,165.02 = 1,493 : x
  2. Step 2: Convert to fraction form
    6,110.04/9,165.02 = 1,493/x
  3. Step 3: Cross multiply
    6,110.04x = 9,165.02 × 1,493
  4. Step 4: Simplify right side
    6,110.04x = 13,683,374.86
  5. Step 5: Solve for x
    x = 13,683,374.86/6,110.04
  6. Step 6: Final answer
    x = 2,239.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.